Definition of the distance of an object :
Distance is the difference between the final and initial position of an object.

Definition of the speed of an object:
The speed of an object is the rate at which the distance changes in a given period of time.

Instantaneous Speed:
The speed at any time, assumed to be a time interval of zero.

Acceleration:
Acceleration is the rate at which speed changes in a given period of time.

Optimization:
Optimization is determining the combination of variables or factors that result in an extreme being produced.

Newton’s Method:
Newton’s Method is a strategy for approximating the zero of a function that uses the tangent line approximation of a point on a curve to iterate closer to a zero.

Differential:
Differential is format for expressing a derivative that has many practical applications.

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"Title" Tutorial Summary :

This tutorial discusses the optimization of functions, Newton’s Method and Differentials. The concept of motion as it relates to derivatives is covered in this tutorial. The rate of change principle is introduced to assist with the velocity and acceleration ideals. Optimization ideals are presented with the help of word problems.

Newton’s Method is mentioned with the help of the definition of a tangent line approximation. Differentials are defined with examples and graphical representation of them. Newton’s method allow for the approximation of the value of zeros.